Srb Measures for Weakly Expanding Maps
نویسنده
چکیده
We construct SRB measures for endomorphisms satisfying conditions far weaker than the usual non-uniform expansion. As a consequence, the definition of a non-uniformly expanding map can be weakened. We also prove the existence of an absolutely continuous invariant measure for local diffeomorphisms, only assuming the existence of hyperbolic times for Lebesgue almost every point in the manifold.
منابع مشابه
Uniqueness of the Srb Measure for Piecewise Expanding Weakly Coupled Map Lattices in Any Dimension
We prove the existence of a unique SRB measure for a wide range of multidimensional weakly coupled map lattices. These include piecewise expanding maps with diffusive coupling.
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